   Chapter 6.2, Problem 43E Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

Solutions

Chapter
Section Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085
Textbook Problem

In Exercises 39 to 47 , provide a paragraph proof. Be sure to provide a drawing, Given, and Prove where needed.If one side of an inscribed triangle is a diameter, then the triangle is a right triangle.

To determine

To provide:

A paragraph proof for the statement “If one side of an inscribed triangle is a diameter, then the triangle is a right triangle”.

Explanation

Calculation:

Consider the below circle,

Proof:

From the figure, let AB¯.is the side of the triangle and the diameter of the circle.

Now from the theorem “An angle inscribed in a semicircle is a right angle”,

In ο,

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